Longest Increasing Subsequence Problem Statement

Given an array of integers with 'N' elements, determine the length of the longest subsequence where each element is greater than the previous element. This subsequence must be in strictly increasing order.

Example:

Input:

N = 4
array = [1, 2, 3, 4]

Output:

4

Explanation:

The longest strictly increasing subsequence is the array itself, [1, 2, 3, 4], which has a length of 4.

Constraints:

• 1 <= N <= 10^5
• -10^5 <= element <= 10^5
• Time Limit: 1 second

Note:

You do not need to print anything; it has already been taken care of. Just implement the given functions.